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Finding the Fourth Proportional to 277,599.81, 383,073.21 and 162,862.50

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Solution

The fourth proportional to 277,599.81, 383,073.21 and 162,862.50 is: 224,741.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,599.81 : 383,073.21 = 162,862.50 : x
  2. Step 2: Convert to fraction form
    277,599.81/383,073.21 = 162,862.50/x
  3. Step 3: Cross multiply
    277,599.81x = 383,073.21 × 162,862.50
  4. Step 4: Simplify right side
    277,599.81x = 62,388,260,663.63
  5. Step 5: Solve for x
    x = 62,388,260,663.63/277,599.81
  6. Step 6: Final answer
    x = 224,741.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.